vector space, Mathematics

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Proof of: limq -0 sinq/q = 1 trig limits, Proof of: lim q →0 sin q...

Proof of: lim q →0 sin q / q = 1 This proofs of given limit uses the Squeeze Theorem. Though, getting things set up to utilize the Squeeze Theorem can be a somewha

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Expected Value For taking decisions under conditions of uncertainty, the concept of expected value of a random variable is used. The expected value is the mean of a probability

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Ratio of successes in 5 independent trials to the probability of successes in two independent trials is 1/4. What is the probability of 4 successes in 6 independent trials?

Prove that cos - sin = v2 sin , If cos?+sin? = √2 cos?, prove that cos? - ...

If cos?+sin? = √2 cos?, prove that cos? - sin? =  √2 sin ?. Ans:    Cos? + Sin? =  √2 Cos? ⇒ ( Cos? + Sin?) 2  = 2Cos 2 ? ⇒ Cos 2 ? + Sin 2 ?+2Cos? Sin? = 2Cos 2 ? ⇒

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